Comparison of Viscoelastic Models in Simulating the Transient Response of a Slewing Polymer Arm

[+] Author and Article Information
M.-J. Potvin

Department of Mechanical Engineering, McGill University, Montreal, Quebec, Canada; Spacecraft Engineering, Canadian Space Agency, Saint Hubert, Quebec, Canada

J.-C. Piedboeuf

Spacecraft Engineering, Canadian Space Agency, Saint-Hubert, Quebec, Canada

J. A. Nemes

Department of Mechanical Engineering, McGill University, Montreal, Quebec, Canada

J. Dyn. Sys., Meas., Control 120(3), 340-345 (Sep 01, 1998) (6 pages) doi:10.1115/1.2805407 History: Received September 09, 1996; Online December 03, 2007


In this paper, we analyze the transient behavior of a polymethylmethacrylate (PMMA) slewing beam. Experimental data shows that the Young’s modulus of PMMA varies considerably between 0 and 50 Hz. For accurate simulation, this variation must be modeled. Traditional stress-strain models such as the Voigt-Kelvin and the standard linear solid models are examined and shown to have only limited abilities. Models involving fractional derivatives, which are derivatives of an order between 0 and 1, give better results. An integration algorithm based on the Newmark family is described to compute the dynamic equations with a fractional derivative.

Copyright © 1998 by The American Society of Mechanical Engineers
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